Andy C. answered • 07/01/18

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Profit function is Profit(x,y) = x + 3y

Man hour constraints:

6x+10y <= 600 <--- 3x + 5y < 300 <<--- 15 employees x 40 hours per week = 600 man hours available

Material and Capital constraints:

5x + 5y <= 400 ---> x + y <= 80

x>=30 y>=20

THe vertices of the critical region:

(30,42) --> $156 profit

(50,30) --> $140 profit

(60,20) --> $120 profit

(30,20) ---> $90 profit

30 and 42